EXAMPLES (5) What will the paving of a street come to at 6d. per yard, the length of the street being 1764 feet, and the breadth 56% feet? (6) What is the content of a piece of wainscotting in square yards, that is 94 feet in height, and 81 feet broad? and what will it come to at 6s. per yard? (7) There is a room 84 feet round, and 9 feet 6 inches high, in which are three windows, each 6 feet high, and 3 feet 5 inches wide, and the fire-place 4 feet by 4 feet. I demand how many yards of paper, half-yard wide, will hang it? (8) If my court-yard be 47 feet 7 inches square, and I have laid a footway of Purbeck stone 4 feet wide, along one side of it, what will paving the rest with flints come to at 6d. per yard square ? (9) A rectangular four-sided room measures 1291 feet about, and is to be wainscotted at 3s. 6d. per yard square; after the due allowances for girt of cornice and member, it is 164 feet high; the door is seven feet by 31 feet; the window-shutters, two pair, are 7 feet by 4 feet; the check-boards round them come 11 foot below the shutters, and are 14 inches in breadth; the lining-boards round the door-way are 16 inches broad; the door and window-shutters, being wrought on both sides, are reckoned work and half, and paid for accordingly; the chimney 31 feet by 3 feet, not being enclosed, is to be deducted from the superficial content of the room; and the estimate of the charge is re quired. (10) What will the plastering of a ceiling, at 104d. per yard, come to, supposing the length 34, feet, and the breadth 20 feet? (11) There is a quantity of partitioning that measures 34 feet 8 inches about, and 14 feet bigh; but is rendered between quarters: the fathing and plastering will be 8d. per yard, and the whiting 2d. per yard. What will the whole come to? Note.--In measuring plastering; rendering between quarters, there is commonly a fifth part of the whole area deducted; but when rendering between quarters is whited or coloured, there is commonly a fourth or fifth part added to the whole area, for the sides of quarters and braces, &c. III. FLOORING, PARTITIONING, ROOFING, TILING, &c. is mea sured by the square of 100 feet.” IN these measurements the dimensions are taken by a rod of ten feet long; and therefore the result is in squares of 100 square feet each. Hence dividing the area in square feet by 100, the quotient will be the nurnber of squares required. EXAMPLES. (12) In 1204 feet in length, and 124 feet in height of parti tioning, how many squares?: (13) What difference is there between a floor: 28.feet long, and 20 broad, and two others that measure 14 feet a. piece by 10? and what do all three come to, at 21. 55. per square? (14) Suppose a house of three stories, besides the ground-floor, were to be foored ai sl. 10s. per square; the house measures 31) ftet by 204 feet; there are eight fireplaces, whose measures are, four of 6 feet by 5, and four of 41 feet by 4, and the well-hole for the stairs is 10 feet by 81; what will the whole come to? (15) How many oaken planks will floor a room 604 feet long, and 334 wide, supposing the plank 15 feet long, and 1 wide? (16) Suppose a house measures, within the walls, 64 feet in length, and 36 feet in breadth, and to be of a true pitch; what will it come to roofing, at 12s. 6d. tbe square? (17) Suppose I employ a person to thatch a barn, which is 70 feet long, and 30 deep; I demand how many squares are contained in the whole ; also what it will come to at 10s. 8 d. per square ? (18) What will the new ripping an out- house cost, that measures 324 feet long, by 221 broad, upon the flat, at 158. the square; the eaves' boards projecting 10 inches on each side? Note.--In tiling and roofing, it is customary, to reckon the flat and half of any building within the walls to be the depth or width of the roof of that building when the said roof is of a true pitch, that is, when the rafters are of the breadth of the building. But when the roof is more or less than the true pitch, they mea. sure from one side to the other. IV. BRICKLAYERS' WORK is measured by the rod, of 2724 square feet. THIS work is always valued at the rate of a brick and a half thick; and if the thickness of the wall be more or less, it must be reduced to that thickness by the following RULES. 1. Multiply the area of the wall in feet, by the number of balt bricks in the thickness the wall is of: divide the product by 8164, and the quotient will be the content in rods; or, 2. Multiply the area of the wall by the number of half bricks the thickness the wall is of; the product, divided by 3, gives the area in feet, which divide by 2721; the quo tient will be the rods required, Note.The fraction | in rule 1, or in rule 2, is rejected in favour of the workmen. EXAMPLES. (19) There is a brick wall 470 feet round, and g; feet high, and three bricks thick. How many rods does it con tain? (20) A gentleman built a wall round his garden, which is 840 feet, and 9 feet high, and 21 bricks thick. How many rods does it contain, and what will it come to at 41.195, 6d. per rod ? (21) The end wall of a house is 24 feet in breadth, and 40 feet to the roof; of which is two bricks thick, * more l brick thick, and the rest i brick thick. Now the gable rises $8 course of bricks (4 of which usually make a foot in depib), and this is but 4 inches, or balf a brick thick, What will this piece of work come to at 5l. 109, per statute rod? M serve. QUESTIONS for Exercise in SUPERFICIAL MEASURE. fi) An elm plank is 141 feet long, and I would have just a yard square slit off. At what distance from the edge must the line be struck ? (2) Having a rectangular marble slab, 58 inches by 27, I would have a foot square cut off, parallel to the shorter edge. I would then have the like quantity divided from the remainder, parallel to the longer side: and this alternately repeated will there be not the quantity of a foot left. What will the dimension of the remainder be? (3) Being about to plant 10584 trees equally distant in rows, the length of the grove nust be six times the breadth. How many of the shorter rows will there be ? (4) A common joist is 7 inches deep, and 21 thick. But I want a seantling just as big again, aud that shall be three inches thick. What will the other dimensions be? (5) I have a square girder, 19 inches by 11; but one quarter of the timber in it (provided it be 9 inches deep) will How broad will it be? (6) I have a wooden trough, that, at 6d. per yard, cost me 38. 2d. painting within; the length of it was 102 inches, the depth 21 inches; what was its breadth? (7) My plumber has put 28 lb. per foot square into a cistern 74 inches, and twice the thickness of the lead long, 26 inches broad, and 40 deep; he has put three stays within, across it, 16-inebes veep, of the same strength; and reckons 22s. per ewt, for work and materials: I being a mason, have paved him a workshop, 22 feet To inches broad, with Purbeck stone, at 7d. per foot, and upon the balance I find there is 3s. 6d. due to him. What was the length of his workshop? (8) The rectangular powdering trough of a man of war mea. sures 27 square feet, 112 inches; the depth - is 20 inches, the breadth 16. The length is sought. (9) In PFO acres of statute measure, in which the pole is 101 feet long, how many Cheshire acres, where the customary pole is 6 yards long; and how many York shire, where the pole ir use is 7 yards in leirgth? (10) I would set 3584 plants in rows, each 4 feet asunder, and the plants 7 feet apart, in a rectangular plot of ground. What land will this take up ? (11) The paving of a triangular court, at 18d. per foot, came to 1001. the longest of the three sides was 88 feet; what then was the suri of the other two equal sides? (12) An ancient bath was found of a triangular forny, the sum of whose three equal sides was 125 feet: the area of the bottom is required? (13) I would plant 10 acres of hop ground, which must be done either in the square order, as the number 4 stands on the dice, or in the quincunx order, as the number 5; the three nearest blinds, in both cases, must be set lineally just 6 feet asander. How many plants more will be required for the last order than for the first, admitting the form of the plot to lie the most advan tageous for the plantation in either case? (14) A summer-house is a cube of 10 feet in the clear; the cornice projects just 15 inches on a side; and being of limber and stucco, the sides are 6 inches thick, so that the whole front of the roof, from out tő out, is 131 feet; this is hipped from each of the corners to the centre, and being truly pediment pitch, it rises of the front, or 3 feet. I would, by help of these dimensions, measure the slating withouť verjturing to climb for more, and compute the cost 3 d. per square foot. (15) A triangular bath, 6 feet deep, is exactly enclosed by 3 square pavilions, and rectangular, the sum of whose planes together make just 50 poles. The area of A. the less is to that of B. the middle one, as 41 to 8; and the sum of the areas of A. and C. the biggest, is to that of B. as 81 to 4. How many wine hogsheads of water will this bath receive ? (16) I have an orchard in the form of a quadrangle or tra pezium, coritaining 31 acres, which being divided by a diagonal, or line from corner to corner, the perpendicular of one of the triangles is 430 links, and the other 360. The length of the said diagonal, or common base of those triangles, is required. (17) Give the area of a circular bowling green, that is 16 poles across the middle, the circumference being 3,1416 times the diameter of a circle. (18) The surveying wheel is so contrived as to turn just |